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4 years ago

What is the sine of C if triangle ABC has b = 3, c = 7, and angle B = 15°?

Mathematics

2 answers:

MatroZZZ [7]4 years ago

7 0

0.6039 is the answer. please give me brainiest.

bekas [8.4K]4 years ago

3 0

Answer:

sin C = 0.6039111053

Step-by-step explanation:

The Law of sine can be used to solve this question. Sine formula for triangle can be represented using the picture of the triangle above.

a/sin A = b/sin B = c/sin C

b = 3

c = 7

B = 15°

Inputting the value in the equation

b/sin B = c/sin C

3/sin 15 = 7/sin C

cross multiply

3 sin C = 7 sin 15°

3 sin C = 7 × 0.2588190451

3 sin C = 1.811733316

sin C = 1.811733316/3

sin C = 0.6039111053

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HURRY PLEASE!!!

34kurt

Answer: THIRD OPTION.

Step-by-step explanation:

The slope can found by using the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

In this case, in order to find the slope of the given function, we need to choose two points from the table provided in the exercise. Let's choose these points:

$(-2,-2)\\\\(2,10)$

We can identify that:

$y_2=-2\\y_1=10\\\\x_2=-2\\x_1=2$

Substituting these values into the formula, we get that the slope of the function is:

$m=\frac{-2-10}{-2-2}\\\\m=3$

This matches with the third option.

7 0

3 years ago

Read 2 more answers

Please help me thank you!!!

kow [346]

There are two acceptable ways of solving this. I'll show both (just in case one of them doesn't align with the information from your textbook).

Option 1 (fast and easy):

The following is the equation for the area of a regular pentagon with side length s.

$A= \dfrac{s^2}{4} \times \sqrt{5(5+2\sqrt{5})}$

Plug s=12 into the equation.

$A= \dfrac{12^2}{4} \times \sqrt{5(5+2\sqrt{5})}$

$\approx 247.7$

The third choice should be your answer.

Option 2 (much more complicated):

The area of a regular polygon can be solved with the following formula.

$A=\dfrac{\text{perimeter} \times \text{apothem}}{2}$

Let's solve for the apothem.

A pentagon can be divided into 5 congruent isosceles triangles. The vertex angle will be 360/5, or 72 degrees.

An isosceles triangle can be divided into two right triangles. One of the angles of the right triangle will be 72/2, or 36 degrees.

The leg opposite of the 36 degree angle will be 12/2, or 6 inches long.

$\text{apothem}=\dfrac{6}{\tan{36}}$

$\approx 8.26$

The apothem is about 8.26 inches.
The perimeter is 12*5, or 60 inches.

$A=\dfrac{\text{perimeter} \times \text{apothem}}{2}$

$=\dfrac{60 \times 8.26}{2}$

$\approx 247.8$

(it seems that we're off by 0.1 due to rounding errors)

The answer is the third choice. Hope this helps! :)

4 0

4 years ago

If you apply for a job with Globo Corp, there is a 75% chance that you will get an interview.

aivan3 [116]

Answer:

The probability that you will get the job If you apply for a job with Globo Corp=0.36

Step-by-step explanation:

We are given that

If you apply for a job with Globo Corp, then the probability of getting interview P(A)=75%=0.75

If you get an interview, then the probability of getting job=P(B)=48%=0.48

We have to find the probability that you will get the job If you apply for a job with Globo Corp.

If you apply for a job with Globo Corp, the probability of getting job= $P(A)\times P(B)$